Effects of MHD free convection and mass transfer on the flow past an oscillating infinite coaxial vertical circular cylinder |
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| Authors: | A. Raptis A. K. Agrawal |
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| Affiliation: | (1) Department of Mathematics, University of Ioannina, Ioannina, Greece;(2) Applied Mathematics Department, I. T., B.H.U., Varanasi, India |
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| Abstract: | The effects of MHD free convection and mass transfer are taken into account on the flow past oscillating infinite coaxial vertical circular cylinder. The analytical expressions for velocity, temperature and concentration of the fluid are obtained by using perturbation technique.
Einwirkungen von freier MHD-Konvektion und Stoffübertragung auf eine Strömung nach einem schwingenden unendlichen koaxialen vertikalen Zylinder Zusammenfassung Die Einwirkungen der freien MHD-Konvektion und Stoffübertragung auf eine Strömung nach einem schwingenden, unendlichen, koaxialen, vertikalen Zylinder wurden untersucht. Die analytischen Ausdrücke der Geschwindigkeit, Temperatur und Fluidkonzentration sind durch die Perturbationstechnik erhalten worden.
Nomenclature C p Specific heat at constant temperature - C the species concentration near the circular cylinder - Cw the species concentration of the circular cylinder - C the species concentration of the fluid at infinite -  * dimensionless species concentration - D chemical molecular diffusivity - g acceleration due to gravity - Gr Grashof number - Gm modified Grashof number - K thermal conductivity - Pr Prandtl number - ra,rb radius of inner and outer cylinder - a, b dimensionless inner and outer radius - r,r coordinate and dimensionless coordinate normal to the circular cylinder - Sc Schmidt number - t time - t dimensionless time - T temperature of the fluid near the circular cylinder - Tw temperature of the circular cylinder - T temperature of the fluid at infinite - u velocity of the fluid - u dimensionless velocity of the fluid - U0 reference velocity - z,z coordinate and dimensionless coordinate along the circular cylinder -  coefficient of volume expansion - * coefficient of thermal expansion with concentration - dimensionless temperature - H0 magnetic field intensity -  coefficient of viscosity - e permeability (magnetic) -  kinematic viscosity -  electric conductivity -  density - M Hartmann number -  dimensionless skin-friction -  frequency - dimensionless frequency |
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